Periodic polynomial spline histopolation

被引：0
|
作者：
Oja, Peeter [1 ]
Shah, Gul Wali [1 ]
机构：
[1] Univ Tartu, Inst Math & Stat, J Liivi 2, EE-50409 Tartu, Estonia
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2018年 / 67卷 / 03期
关键词：
histopolation; interpolation; periodic spline; existence and uniqueness of histopolant; CIRCULANT MATRICES; INTERPOLATION;
D O I：
10.3176/proc.2018.3.08
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Periodic polynomial spline histopolation with arbitrary placement of histogram knots is studied. Spline knots are considered coinciding with histogram knots. The main problem is the existence and uniqueness of the histopolant for any degree of spline and for any number of partition points. The results for arbitrary grid give as particular cases known assertions for the uniform grid but different techniques are used.
引用
收藏
页码：246 / 251
页数：6
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